Upon the closing of a street or alley in accordance with this division, all right, title and interest in the right-of-way shall be conclusively presumed to be vested in those persons owning lots or parcels of land adjacent to the street or alley, and the title of such adjoining landowners, for the width of the abutting land owned by them, shall extend to the centerline of the street or alley.
(G.S. § 160A-299(c)) (1989 Code, § 13-93)